Answer:
Option (C)
Step-by-step explanation:
Option (A)
Rise-run ratio from the smaller triangle = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{2}{3}[/tex]
Rise-run ratio from the large triangle = [tex]\frac{4}{6}[/tex]
= [tex]\frac{2}{3}[/tex]
[tex]\frac{2}{3}=\frac{2}{3}[/tex]
Therefore, the ratios of the rise to run are equivalent in both the triangles.
True.
Option (B)
Slope the line AC will be same as segments AB and BC which lie on the same line AC.
Slope of AC = [tex]\frac{2}{3}[/tex]
True.
Option (C)
Since, the segments AB and BC are the parts of line AC
Slope of AB = Slope of BC = Slope AC
Therefore, slope of AB and BC can not be the same.
False.
Option (D)
Since, segment AB is a part line AC, slope of both will be same.
True.
Option (C) is not true.
